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Finding the Fourth Proportional to 78,778.51, 118,107.19 and 40,787.06

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Solution

The fourth proportional to 78,778.51, 118,107.19 and 40,787.06 is: 61,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,778.51 : 118,107.19 = 40,787.06 : x
  2. Step 2: Convert to fraction form
    78,778.51/118,107.19 = 40,787.06/x
  3. Step 3: Cross multiply
    78,778.51x = 118,107.19 × 40,787.06
  4. Step 4: Simplify right side
    78,778.51x = 4,817,244,948.31
  5. Step 5: Solve for x
    x = 4,817,244,948.31/78,778.51
  6. Step 6: Final answer
    x = 61,149.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.